Rays

[JinXi]

OKEY so for further clarification, Arg(z) > and = or > angle means DOT -ve Re(z). Arg(z)< or = or < angle means -ve Re(z) should be included...

Thats upside down. What 99.95 4 sure posted is right Arg> include -ve Re(z), Arg < exclude. Thats it for x-axis.

[jto1292]

But doesn't Arg(z) have a range of -pi < angle < or = pi ?? In saying that, wouldn't that mean that if Arg(z) > angle it will INCLUDE the negative Re(z) axis because it reads it as +pi ? and if so, wouldn't Arg(z) < / = angle mean that -pi ( -ve Re(z) ) is not included thus dotted because of the range?

[JinXi]

what i meant by -pi < Arg(z) </= pi is that for all values of Arg(z) must lie between -pi(excluded) to pi (included)

[jto1292]

Good, yes, sounds right (Y)

[lisafaustina]

ok is this correct?
i just did this on paint

[jasoN-]

if that is including pi, then yes

[JinXi]

yeah the -ve x-axis should be solid.

[lisafaustina]

aw what i thought -ve x-axis was always dotted :SSS

[jto1292]

IF the angle's positive, -ve x-axis is solid, if the angle is -ve, the -ve x-axis is dotted.

[jasoN-]

not true; eg
What you're trying to say is if or then -ve x-axis is solid (ie. pi)
Likewise if or then -ve x-axis is dotted

[jto1292]

I'm never gonna get explaining it right, am I? :/ Oh well...

[Elnino_Gerrard]

Whats the difference in the diagrams of Arg(z)>=-3pie/4   and z:-3pie/4<=Arg(z)<=0

[jto1292]

Arg(z)>=-3pie/4  covers 1st 2nd and 4th quad fully. -ve x-axis is solid, ray is solid and half of 3rd quad that's under the ray is covered.

z:-3pie/4<=Arg(z)<=0  covers only half of third quad that's under the ray, and all of quad 4. +ve x-axis is included..

[Elnino_Gerrard]

ahhhhh i see cheers mate.